77431464 has 224 divisors, whose sum is σ = 254975040. Its totient is φ = 21772800.

The previous prime is 77431457. The next prime is 77431477. The reversal of 77431464 is 46413477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1090549 + ... + 1090619.

Almost surely, 2^77431464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77431464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127487520).

77431464 is an abundant number, since it is smaller than the sum of its proper divisors (177543576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77431464 is a wasteful number, since it uses less digits than its factorization.

77431464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 77431464 is about 8799.5149866342. The cubic root of 77431464 is about 426.2252330074.

The spelling of 77431464 in words is "seventy-seven million, four hundred thirty-one thousand, four hundred sixty-four".